Abstract
We propose a new generator of continuous distributions, so called the transmuted generalized odd generalized exponential-G family, which extends the generalized odd generalized exponential-G family introduced by Alizadeh et al. (2017). Some statistical properties of the new family such as; raw and incomplete moments, moment generating function, Lorenz and Bonferroni curves, probability weighted moments, Rényi entropy, stress strength model and order statistics are investigated. The parameters of the new family are estimated by using the method of maximum likelihood. Two real applications are presented to demonstrate the effectiveness of the suggested family.
Highlights
In the last two decades, statisticians have introduced new classes of univariate distributions
We introduce a new class of continuous distributions called the transmuted generalized odd generalized exponential-G (TGOGE-G for short) family by using the GOGE -G as baseline distribution in the T-G generator and study some of its statistical properties The cdf and pdf of the TGOGE-G family are given, respectively, by
1 )], the rth moment of kth order statistic for TGOGE-G family is given by n−k ∞ ∞ ∞ ∞
Summary
In the last two decades, statisticians have introduced new classes of univariate distributions. Let g(x, φ) and G(x; φ) denote the probability density function (pdf) and cumulative distribution function (cdf) of a baseline model with parameter vector φ. Shaw and Buckley (2007) introduced the transmuted-G (T-G) family of distributions with cdf and pdf given by. Alizadeh et al (2017) defined the generalized odd generalized exponential-G (GOGE-G) family of distributions with cdf and pdf given, respectively, by. We introduce a new class of continuous distributions called the transmuted generalized odd generalized exponential-G (TGOGE-G for short) family by using the GOGE -G as baseline distribution in the T-G generator and study some of its statistical properties The cdf and pdf of the TGOGE-G family are given, respectively, by.
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